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Inertial force term approximations for the use of Global Modal Parameterization for planar mechanisms
Author(s) -
Naets F.,
Heirman G. H. K.,
Vandepitte D.,
Desmet W.
Publication year - 2010
Publication title -
international journal for numerical methods in engineering
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 1.421
H-Index - 168
eISSN - 1097-0207
pISSN - 0029-5981
DOI - 10.1002/nme.2984
Subject(s) - inertial frame of reference , reduction (mathematics) , position (finance) , parameterized complexity , modal , planar , fictitious force , control theory (sociology) , multibody system , projection (relational algebra) , term (time) , mathematics , computer science , classical mechanics , physics , geometry , algorithm , control (management) , materials science , computer graphics (images) , finance , artificial intelligence , quantum mechanics , polymer chemistry , economics
Recently a new model reduction technique for flexible multibody systems has been introduced, namely the Global Modal Parameterization (GMP). This method uses a system‐level model reduction, in which the reduction is parameterized by the rigid position of the system and a small flexible deformation superposed on this rigid position. Because of the non‐linearity, the projection base for reduction is position dependent. This position dependence leads to strongly non‐linear inertial terms, with associated increased storage requirements and computational load. This paper gives a short overview of the GMP‐method and focuses predominantly on the derivation of the reduced inertial forces. Three different approximations for the inertial terms are presented and numerically validated. It is shown that a substantial reduction in storage requirements, while maintaining accurate results, is possible through these approximations. Copyright © 2010 John Wiley & Sons, Ltd.